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Finding the Third Proportional to 17,842.75 and 27,436.25

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Solution

The third proportional to 17,842.75 and 27,436.25 is: 42,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.75 : 27,436.25 = 27,436.25 : x
  2. Step 2: Convert to fraction form
    17,842.75/27,436.25 = 27,436.25/x
  3. Step 3: Cross multiply
    17,842.75x = 27,436.25 × 27,436.25
  4. Step 4: Simplify right side
    17,842.75x = 752,747,814.06
  5. Step 5: Solve for x
    x = 752,747,814.06/17,842.75
  6. Step 6: Final answer
    x = 42,187.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.